Search a number
-
+
120123140 = 22531313619
BaseRepresentation
bin1110010100011…
…10111100000100
322101000212222012
413022032330010
5221222420030
615530353352
72656013144
oct712167404
9271025865
10120123140
1161896325
123428b858
131bb6aca7
1411d4c924
15a82c095
hex728ef04

120123140 has 48 divisors (see below), whose sum is σ = 261649920. Its totient is φ = 46275840.

The previous prime is 120123121. The next prime is 120123167. The reversal of 120123140 is 41321021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193751 + ... + 194369.

It is an arithmetic number, because the mean of its divisors is an integer number (5451040).

Almost surely, 2120123140 is an apocalyptic number.

120123140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120123140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130824960).

120123140 is an abundant number, since it is smaller than the sum of its proper divisors (141526780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120123140 is a wasteful number, since it uses less digits than its factorization.

120123140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 120123140 is about 10960.0702552493. The cubic root of 120123140 is about 493.4110734969.

Adding to 120123140 its reverse (41321021), we get a palindrome (161444161).

The spelling of 120123140 in words is "one hundred twenty million, one hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 313 619 620 626 1238 1252 1565 2476 3095 3130 6190 6260 9703 12380 19189 19406 38378 38812 48515 76756 95945 97030 191890 193747 194060 383780 387494 774988 968735 1937470 3874940 6006157 12012314 24024628 30030785 60061570 120123140